Exact solutions of some fractal differential equations

Khalili Golmankhaneh, Alireza; Bongiorno, Donatella

doi:10.1016/j.amc.2024.128633

Applied Mathematics and Computation

2024

DOI: 10.1016/j.amc.2024.128633

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Exact solutions of some fractal differential equations

Alireza Khalili Golmankhaneh,

Donatella Bongiorno

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2024

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Cited by 1 publication

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Fractional integral approach on nonlinear fractal function and its application

Kavitha,

Gowrisankar

2024

MMC

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The shape and dimension of the fractal function have been significantly influenced by the scaling factor. This paper investigated the fractional integral of the nonlinear fractal interpolation function corresponding to the iterated function systems employed by Rakotch contraction. We demonstrated how the scaling factors affect the flexibility of fractal functions and their different fractional orders of the Riemann fractional integral using certain numerical examples. The potentiality application of Rakotch contraction of fractal function theory was elucidated based on a comparative analysis of the irregularity relaxation process. Moreover, a reconstitution of epidemic curves from the perspective of a nonlinear fractal interpolation function was presented, and a comparison between the graphs of linear and nonlinear fractal functions was discussed.

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Fractional integral approach on nonlinear fractal function and its application

Kavitha,

Gowrisankar

2024

MMC

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show abstract

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Exact solutions of some fractal differential equations

Cited by 1 publication

References 27 publications

Fractional integral approach on nonlinear fractal function and its application

Fractional integral approach on nonlinear fractal function and its application

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